***Unit 2 - Rational Expressions ***
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***Unit 2 - Rational Expressions *** 〰️
Factoring Review
Factoring Review By Style
Additional Practice (Jumbled Styles)
Factoring Review Videos:
#1-5, 6-10, 11-15, 16-20, 21-25, 26-30, 31-35, 36-40, 41-45, 46-50
Factoring Solutions
Factoring Calculator (Input question, gives step by step guide)
Lesson 2.1
In this lesson we review terminology surrounding polynomials as well as the mechanics around simplifying expressions involving exponents, multiplying fractions, and the expansion and collection of like terms. An essential skill heading into the review of quadratics from grade 10.
Blank Lesson
Lesson Video - Part 1
Lesson Video - Part 2
Homework Solutions
Lesson 2.2
In this lesson we begin looking in more depth at the rational graph - y=1/x. We begin by exploring what it means to simplify a rational expression and the major limitation (restriction) that having an x in the denominator can have on an expression. We will explore in later lessons how these restrictions affect the graph.
Blank Lesson
Lesson 2.7 Video
Homework 2.7 Solutions -Page 112-113 #4-9
Page 112-113 #2c, 5c
Lesson 2.3
In this lesson we look at applying our skills to rational expressions involving multiplication and division. Again, we state restrictions on the function based on the original function and not the final simplified expressions. Being able to factor a variety of quadratics becomes imperative moving forward.
Blank Lesson
Lesson 2.3 Solutions
Lesson 2.3 Video
Homework 2.3 Solutions (#1-9 even)
Lesson 2.4
In this lesson we look at adding and subtracting rational expressions. This will require factoring to simplify the numerators and denominators in the rational expressions, as well as identifying, and subsequently creating, common denominators in order to add and subtract the rational expressions.
Blank Lesson
Lesson 2.4 Video
Homework 2.4 Solutions
Lesson 2.5
In this lesson we look at applying our skills from simplifying rational expressions to produce the graph of the expressions. We will look at how to identify vertical and horizontal asymptotes, holes in the graph, x and y intercepts, and end behaviour.
Blank Lesson
Lesson 2.5 Video
Homework 2.5 Solutions
